2025 MSHS PRELIMS P1 Q19

2025 MSHS PRELIMS P1 Q19

Secondary 4
5 marks

For January, the amounts of money, in dollars, saved individually by 13 students are shown below.

MonthSavings ($)
January\(58,\quad 43,\quad 64,\quad 68,\quad 60,\quad 92,\quad 79,\quad 94,\quad 88,\quad 67,\quad 80,\quad 41,\quad 24\)
  1. Find
    1. the mean savings of the 13 students for January,[1]
    2. the standard deviation of the savings in January.[2]
  2. In February, the same group saved 58, 43, 64, 68, 60, 92, 79, 94, 88, 67, 80, 41 and 10 dollars. Given that only the lowest amount was changed to $10, state how the mean and standard deviation in February will change compared with January.[2]

Solution:

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Answer:(a)(i) \(\$66\) (ii) \(\$20.3\) (b) mean decreases; standard deviation increases

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